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Unit 4.4 Skills Check: Fundamental Theorem of Algebra

Authored by JOHN CAMPBELL

Mathematics

9th - 12th Grade

CCSS covered

Used 34+ times

Unit 4.4 Skills Check: Fundamental Theorem of Algebra
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10 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the Degree of this polynomial:
f(x)= x3(x + 3)2(x – 5)

Degree: 6
Degree: 5
Degree: 3
Degree: 2

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The degree of the polynomial determines the number of roots.

True
False

Tags

CCSS.HSN.CN.C.9

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The Fundamental Theorem of Algebra tell us two things. Which of the options does not come from the Fundamental Theorem of Algebra?

A nth degree polynomial has at least 1 complex solution

An nth degree polynomial always has 2 x-intercepts

A nth degree polynomial has n solutions (roots).

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which statement is the Fundamental Theorem of Algebra?

There are infinitely many rationals between two reals.

Every polynomial equation having complex coefficents and degree greater than the number 1 has at least one complex root.

There are infinitely many prime numbers.

All numbers are rational numbers.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A Polynomial of Degree 6 CAN have the following number of imaginary roots:

1
4
3
8

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the least degree of the following polynomial that has 4 real roots and 2 imaginary roots?

4

2

8

6

Tags

CCSS.HSN.CN.C.9

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the least degree of a polynomial that contains the roots of -2 and 4i ?

3

4

1

2

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